Details

sample27.0ms

Algorithm

intervals

Results

15.0ms

274×

body

valid

simplify49.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	20	5
1	34	5
2	55	5
3	93	5
4	149	5
5	184	5
6	202	5
7	229	5
8	280	5
9	372	5
10	465	5
11	768	5
12	876	5
13	878	5
14	878	5

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.1b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- a t))
2.7b	(* y (/ (- z t) (- a t)))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

75×	`add-sqr-sqrt`
70×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
26×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
9×	`add-exp-log` `add-cbrt-cube`
5×	`associate-/r` `associate-/l`
4×	`pow1` `associate-/r/`
3×	`flip3--` `associate-l` `flip--`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

2 → 102

Calls

2 calls:

10.0ms	(/ (- z t) (- a t))
26.0ms	(* y (/ (- z t) (- a t)))

series110.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(/ (- z t) (- a t))
65.0ms	(* y (/ (- z t) (- a t)))

simplify43.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	349	647
1	1396	606
2	5001	606

prune234.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
0.5b	(cbrt y)
1.2b	(* (cbrt y) (/ (- z t) (- a t)))
1.7b	(* (* (cbrt y) (cbrt y)) (* (cbrt y) (/ (- z t) (- a t))))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
32×	`associate-r`
30×	`add-exp-log`
27×	`times-frac`
19×	`add-cube-cbrt`
18×	`pow1` `add-cbrt-cube`
15×	`prod-exp` `cbrt-unprod`
11×	`cbrt-prod`
10×	`distribute-lft-out--` `difference-of-squares`
9×	`pow-prod-down`
7×	`associate-l`
4×	`add-log-exp` `unswap-sqr`
3×	`cbrt-undiv` `associate-*r/` `div-exp`
2×	`pow1/3` `associate-/r/` `*-commutative`
1×	`flip3--` `flip--` `div-inv`

Counts

4 → 104

Calls

4 calls:

1.0ms	(cbrt y)
0.0ms	(cbrt y)
28.0ms	(* (cbrt y) (/ (- z t) (- a t)))
32.0ms	(* (* (cbrt y) (cbrt y)) (* (cbrt y) (/ (- z t) (- a t))))

series597.0ms

Counts

4 → 12

Calls

4 calls:

171.0ms	(cbrt y)
176.0ms	(cbrt y)
164.0ms	(* (cbrt y) (/ (- z t) (- a t)))
86.0ms	(* (* (cbrt y) (cbrt y)) (* (cbrt y) (/ (- z t) (- a t))))

simplify62.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	382	805
1	1795	651
2	5002	619

prune270.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(* y (- z t))
10.2b	(/ (* y (- z t)) (- a t))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
12×	`*-un-lft-identity`
9×	`add-exp-log` `add-cbrt-cube`
6×	`add-cube-cbrt`
5×	`times-frac` `associate-r` `associate-/r*`
4×	`pow1` `associate-*r/`
3×	`flip3--` `associate-l` `flip--` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/` `add-log-exp`
1×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

2 → 55

Calls

2 calls:

9.0ms	(* y (- z t))
9.0ms	(/ (* y (- z t)) (- a t))

series99.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(* y (- z t))
64.0ms	(/ (* y (- z t)) (- a t))

simplify40.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	264	276
1	1211	239
2	5001	239

prune121.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- a t) (- z t))
2.5b	(/ y (/ (- a t) (- z t)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
194×	`add-sqr-sqrt` `*-un-lft-identity`
90×	`add-cube-cbrt`
52×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
11×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/l*`
6×	`flip3--` `flip--` `div-inv`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `frac-2neg` `clear-num` `associate-/l/` `add-log-exp`
1×	`div-sub`

Counts

2 → 194

Calls

2 calls:

10.0ms	(/ (- a t) (- z t))
14.0ms	(/ y (/ (- a t) (- z t)))

series193.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(/ (- a t) (- z t))
146.0ms	(/ y (/ (- a t) (- z t)))

simplify85.0ms

Algorithm

egg-herbie

Counts

200 → 200

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	633	1784
1	2862	1733
2	5001	1730

prune450.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes169.0ms

Accuracy

-5.2% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 1.3b

bsearch84.0ms

Steps

Iters	Range		Point
9	6.0403677168596346e-24	8.956800960144148e-15	3.3574302833415656e-19
6	-7.609404180046425e-156	-8.4764767712441e-157	-1.5425104884202794e-156

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	15
1	27	15

end0.0ms

sample745.0ms

Algorithm

intervals

Results

489.0ms

8740×

body

valid

Iter	Nodes	Cost
0	20	5
1	34	5
2	55	5
3	93	5
4	149	5
5	184	5
6	202	5
7	229	5
8	280	5
9	372	5
10	465	5
11	768	5
12	876	5
13	878	5
14	878	5

Iter	Nodes	Cost
0	20	5
1	34	5
2	55	5
3	93	5
4	149	5
5	184	5
6	202	5
7	229	5
8	280	5
9	372	5
10	465	5
11	768	5
12	876	5
13	878	5
14	878	5

Iter	Nodes	Cost
0	20	5
1	34	5
2	55	5
3	93	5
4	149	5
5	184	5
6	202	5
7	229	5
8	280	5
9	372	5
10	465	5
11	768	5
12	876	5
13	878	5
14	878	5